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Finding the Third Proportional to 31,262 and 67,412

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Solution

The third proportional to 31,262 and 67,412 is: 145,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262 : 67,412 = 67,412 : x
  2. Step 2: Convert to fraction form
    31,262/67,412 = 67,412/x
  3. Step 3: Cross multiply
    31,262x = 67,412 × 67,412
  4. Step 4: Simplify right side
    31,262x = 4,544,377,744
  5. Step 5: Solve for x
    x = 4,544,377,744/31,262
  6. Step 6: Final answer
    x = 145,364.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.